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Finding the Fourth Proportional to 98,254.80, 147,410.91 and 31,693.46

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Solution

The fourth proportional to 98,254.80, 147,410.91 and 31,693.46 is: 47,549.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,254.80 : 147,410.91 = 31,693.46 : x
  2. Step 2: Convert to fraction form
    98,254.80/147,410.91 = 31,693.46/x
  3. Step 3: Cross multiply
    98,254.80x = 147,410.91 × 31,693.46
  4. Step 4: Simplify right side
    98,254.80x = 4,671,960,884.13
  5. Step 5: Solve for x
    x = 4,671,960,884.13/98,254.80
  6. Step 6: Final answer
    x = 47,549.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.